What is the derivative of 3/(x^6) ?

The derivative of 3/(x^6) is -(18)/(x^7)

What is the first derivative of 3/(x^6) ?

The first derivative of 3/(x^6) is -(18)/(x^7)

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\frac{d}{d x} (\frac{3}{x ^{6}})

- \frac{18}{x ^{7}}

Solution steps

\frac{d}{d x} (\frac{3}{x ^{6}})

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= 3 \frac{d}{d x} (\frac{1}{x ^{6}})

Apply exponent rule:

\frac{1}{a} = a^{- 1}

= 3 \frac{d}{d x} (x^{- 6})

Apply the Power Rule:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= 3 (- 6 x^{- 6 - 1})

Simplify

3 (- 6 x^{- 6 - 1}) : - \frac{18}{x ^{7}}

= - \frac{18}{x ^{7}}

2 cos (x) d y = (y sin (x) - y^{3}) d x

\int 3 t^{2} + 2 t d t

x \to 8 lim (\frac{3}{x - 8})

\int \frac{ln ( x )}{( 1 + ln ( x ) ) ^{2}} d x

x \to 0 - lim (\frac{∣ 2 x ∣}{x})

What is the derivative of 3/(x^6) ?
The derivative of 3/(x^6) is -(18)/(x^7)
What is the first derivative of 3/(x^6) ?
The first derivative of 3/(x^6) is -(18)/(x^7)